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ecology of phasmids - KLUEDO - Universität Kaiserslautern

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Community structure & host range 15<br />

was available for each <strong>of</strong> these months. I tested for temporal heterogeneity <strong>of</strong> absolute abundances by<br />

comparing observed and expected abundances in Chi-Square Goodness-<strong>of</strong>-Fit Tests (GOF). Although<br />

data for phasmid abundances may not be independent, e.g. because <strong>of</strong> contagiousness, GOF analysis is<br />

appropriate if the user is only interested in heterogeneity or homogeneity (Fowler et al. 1998).<br />

2.2.3.2 Estimating niche dimensions and overlap<br />

As one dimension <strong>of</strong> niche breadth, I assessed diet breadth using the potential food resources (i.e. plant<br />

families) registered along line-transects. Because none <strong>of</strong> the four tested phasmid species was<br />

specialized below the family level, all niche measures were expressed on the plant family level, i.e. each<br />

potential host plant family represented a resource state. As measure for uniformity <strong>of</strong> distribution <strong>of</strong><br />

individuals among the resource states I used Levin’s standardized measure <strong>of</strong> niche breadth BA:<br />

Equation 2-5<br />

B A<br />

B −1<br />

=<br />

n −1<br />

where BA = Levin’s standardized niche breadth<br />

B = Levin’s measure <strong>of</strong> niche breadth<br />

state j<br />

n = Number <strong>of</strong> possible resource states<br />

1<br />

B with pj = Proportion <strong>of</strong> individuals found in resource<br />

= 2<br />

p j<br />

∑<br />

Levin’s standardized measure <strong>of</strong> niche breadth ranges from 0 to 1. BA is maximal when a species does<br />

not discriminate among resource states.<br />

Overlap in the use <strong>of</strong> food niches among phasmid species was calculated by Pianka’s measure <strong>of</strong> niche<br />

overlap Ojk:<br />

Equation 2-6<br />

O<br />

jk<br />

=<br />

n<br />

∑ pij<br />

p<br />

2<br />

∑ pij∑<br />

where Ojk = Pianka’s measure <strong>of</strong> niche overlap between species j and species k<br />

pij = Proportion resource i is <strong>of</strong> the total resources used by species j<br />

pik = Proportion resource i is <strong>of</strong> the total resources used by species k<br />

Pianka’s measure <strong>of</strong> niche overlap ranges from 0 (complete separation <strong>of</strong> niches) to 1 (complete<br />

overlap).<br />

To describe overlap between realized food niche (i.e. potential host plant families from line-transects)<br />

and absolute food niche (i.e. plant families accepted in feeding-trials) I used Sørensen’s coefficient <strong>of</strong><br />

similarity SS:<br />

Equation 2-7<br />

SS<br />

2a<br />

=<br />

2a<br />

+ b + c<br />

where SS = Sørensen’s similarity coefficient<br />

a = Number <strong>of</strong> plant families recorded in line-transect and accepted in feeding-trials<br />

b = Number <strong>of</strong> plant families only recorded in line-transect records but not accepted in feeding-trials<br />

ik<br />

p<br />

2<br />

ik

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